105354660246 has 128 divisors (see below), whose sum is σ = 243551895552. Its totient is φ = 30070656000.

The previous prime is 105354660227. The next prime is 105354660253. The reversal of 105354660246 is 642066453501.

It is a super-2 number, since 2×105354660246² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354660198 and 105354660207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31067211 + ... + 31070601.

It is an arithmetic number, because the mean of its divisors is an integer number (1902749184).

Almost surely, 2^105354660246 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105354660246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121775947776).

105354660246 is an abundant number, since it is smaller than the sum of its proper divisors (138197235306).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105354660246 is a wasteful number, since it uses less digits than its factorization.

105354660246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105354660246 in words is "one hundred five billion, three hundred fifty-four million, six hundred sixty thousand, two hundred forty-six".